161149256787456 has 1920 divisors, whose sum is σ = 587349969862656. Its totient is φ = 43138988605440.

The previous prime is 161149256787391. The next prime is 161149256787469. The reversal of 161149256787456 is 654787652941161.

It is a happy number.

161149256787456 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 4 + 9 + 2 + 567 + 8 + 7 + 4 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 147437562846 + ... + 147437563938.

Almost surely, 2^{161149256787456} is an apocalyptic number.

161149256787456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161149256787456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293674984931328).

161149256787456 is an abundant number, since it is smaller than the sum of its proper divisors (426200713075200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

161149256787456 is a wasteful number, since it uses less digits than its factorization.

161149256787456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1334 (or 1306 counting only the distinct ones).

The product of its digits is 609638400, while the sum is 72.

The spelling of 161149256787456 in words is "one hundred sixty-one trillion, one hundred forty-nine billion, two hundred fifty-six million, seven hundred eighty-seven thousand, four hundred fifty-six".